2(4x-5)=2x+3

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Solution for 2(4x-5)=2x+3 equation:


Simplifying
2(4x + -5) = 2x + 3

Reorder the terms:
2(-5 + 4x) = 2x + 3
(-5 * 2 + 4x * 2) = 2x + 3
(-10 + 8x) = 2x + 3

Reorder the terms:
-10 + 8x = 3 + 2x

Solving
-10 + 8x = 3 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-10 + 8x + -2x = 3 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-10 + 6x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 6x = 3 + 0
-10 + 6x = 3

Add '10' to each side of the equation.
-10 + 10 + 6x = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 3 + 10
6x = 3 + 10

Combine like terms: 3 + 10 = 13
6x = 13

Divide each side by '6'.
x = 2.166666667

Simplifying
x = 2.166666667

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